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Finding the Fourth Proportional to 427,462.25, 638,036.43 and 377,033.81

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Solution

The fourth proportional to 427,462.25, 638,036.43 and 377,033.81 is: 562,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,462.25 : 638,036.43 = 377,033.81 : x
  2. Step 2: Convert to fraction form
    427,462.25/638,036.43 = 377,033.81/x
  3. Step 3: Cross multiply
    427,462.25x = 638,036.43 × 377,033.81
  4. Step 4: Simplify right side
    427,462.25x = 240,561,301,517.64
  5. Step 5: Solve for x
    x = 240,561,301,517.64/427,462.25
  6. Step 6: Final answer
    x = 562,766.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.